PYQ Vault

Sum and product of slopes

Lines through the origin

Concept 3 of 9 in Pair of Straight Lines

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Think about this

The pair 6x2−5xy+y2=06x^2 - 5xy + y^2 = 0 is the lines y=2xy = 2x and y=3xy = 3x. Can you see the sum and the product of their slopes in the equation itself?